Air is being removed from a spherical balloon so that its radius decreases at

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Air is being removed from a spherical balloon so that its radius decreases at 2 mm/s2\text{ mm/s}. When the radius is 0.40 m0.40\text{ m}, determine the corresponding rate of change of the balloon’s volume. Give your answer in cubic centimeters per second, including its sign.

Related theory

Browse the problem library